F(x)=(2x+1), g(x)=3x^2-3 Di tanya (g o f) (x)

-Komposisi Fungsi-

f(x) = 2x + 1

g(x) = 3x² – 3

(gof)(x) = g(f(x))

(gof)(x) = 3(f(x))² – 3

(gof)(x) = 3(2x + 1)² – 3

(gof)(x) = 3(4x² + 4x + 1) – 3

(gof)(x) = 12x² + 12x + 3 – 3

(gof)(x) = 12x² + 12x

Penjelasan dengan langkah-langkah:

(g o f)(x)

= g ((fx))

= g (2x + 1)

= 3(2x + 1)² – 3

= 3 (2x + 1) (2x + 1) – 3

= 3(4x² + 2x + 2x + 1) – 3

= 3(4x² + 4x + 1) – 3

= 12x² + 12x + 3 – 3

= 12x² + 12x